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The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the…

Analysis of PDEs · Mathematics 2022-07-08 Katrine Golubkov , Amy Novick-Cohen , Yotam Vaknin

We explore the effects of surface tension and mobility models in simulations of grain growth using threshold dynamics algorithms that allow performing large scale simulations, while naturally capturing the Herring angle condition at…

Materials Science · Physics 2019-07-29 Tiago Salvador , Selim Esedoglu

We report on a numerical study of the shear flow of a simple two-dimensional model of a granular material under controlled normal stress between two parallel smooth, frictional walls, moving with opposite velocities $\pm$V . Discrete…

Soft Condensed Matter · Physics 2012-10-15 Zahra Shojaaee , Jean-Noël Roux , François Chevoir , Wolf Dietrich

Two-dimensional simulations are used to explore topological transitions that occur during the formation of films grown from grains that are seeded on substrates. This is done for a relatively large range of the initial value $\Phi_s$ of the…

Materials Science · Physics 2022-01-21 Stoffel D. Janssens , David Vázquez-Cortés , Eliot Fried

The sharp growth of the fracture toughness after brittle-ductile transition happens at grain sizes approximately equal to the plastic zone size. Here we analyze the influence of the grain boundary on the evolution of the ensemble of…

Materials Science · Physics 2025-07-22 K. M. Borysovska , N. M. Marchenko , Yu. Koval , Yu. N. Podrezov , S. A. Firstov

Previous experimental and numerical studies showed that two-dimensional roughness elements can stabilize disturbances inside a hypersonic boundary layer, and eventually delay the transition onset. The objective of this paper is to evaluate…

Fluid Dynamics · Physics 2018-07-09 Jeremy Sawaya , Vasileios Sassanis , Sofia Yassir , Adrian Sescu , Miguel Visbal

We derive a course grained, continuum model of the 2D vertex model, applicable for different underlying geometries, and allowing for analytical analysis of an otherwise numerical model. Using a geometric approach and out--of--equilibrium…

Soft Condensed Matter · Physics 2022-08-31 Doron Grossman , Jean-Francois Joanny

Cohesive laws are stress-strain curves used in finite element calculations to describe the debonding of interfaces such as grain boundaries. It would be convenient to describe grain boundary cohesive laws as a function of the parameters…

Materials Science · Physics 2009-11-13 Valerie R. Coffman , James P. Sethna

A discrete model and the regular solution approximation are applied to describe the effect of grain boundary motion on grain boundary phase transformations in a binary alloy. The model predicts all thermodynamic properties of the grain…

Materials Science · Physics 2019-05-13 Y. Mishin

We present some results of Monte Carlo simulations for the deposition of particles of different sizes on a two-dimensional substrate. The particles are linear, height one, and can be deposited randomly only in the two, $x$ and $y$…

Statistical Mechanics · Physics 2010-06-15 F. L. Forgerini , W. Figueiredo

Polycrystalline materials undergoing coarsening can be represented as evolving networks of grain boundaries, whose statistical characteristics determine macroscopic materials properties. The process of formation of various statistical…

Materials Science · Physics 2015-02-23 Claudio Torres , Maria Emelianenko , Dmitry Golovaty , David Kinderlehrer , Shlomo Ta'asan

A continuum grain boundary model is developed that uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a 1-D grain array. The model uses a continuum…

Materials Science · Physics 2024-01-29 Syed Ansari , Amit Acharya , Alankar Alankar

Grain boundary (GB) migration plays a crucial role in the thermal and mechanical responses of polycrystalline materials, particularly in ultrafine-grained and nano-grained materials exhibiting grain size-dependent properties. This study…

Materials Science · Physics 2024-04-08 Liang Yang , Xinyuan Song , Tingting Yu , Dahai Liu , Chuang Deng

Orientation effects on the resistivity of copper grain boundaries are studied systematically with two different atomistic tight binding methods. A methodology is developed to model the resistivity of grain boundaries using the Embedded Atom…

Electronic correlations control the normal state of bulk high-Tc cuprates. Strong correlations also suppress the charge transport through cuprate grain boundaries (GBs). The question then arises if these correlations can produce magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-10-01 Iris Xhango , Thilo Kopp

This study delves into the complex mechanisms of defect production and accumulation in nanocrystalline tungsten under irradiation, with a particular focus on the interplay between grain boundaries and free surfaces. Through molecular…

Materials Science · Physics 2024-03-20 Yang Zhang , Predrag Krstic , Jason R. Trelewicz

Vertically-stacked monolayers of graphene and other atomically-thin 2D materials have attracted considerable research interest because of their potential in fabricating materials with specifically-designed properties. Chemical vapor…

Computational Physics · Physics 2019-11-27 Zhenlin Guo , Christopher Price , Vivek B. Shenoy , John Lowengrub

The grain boundary (GB) microstructure influences and is influenced by the development of residual stresses during synthesis of polycrystalline thin films. Recent studies have shown that the frustration between the preferred growth…

Materials Science · Physics 2022-12-14 Mengyuan Wang , Ruilin Yan , Xiao Han , Hailong Wang , Moneesh Upmanyu

The anisotropy of wood within the radial-tangential (RT) growth plane has a major influence on the cracking behavior perpendicular to grain. Within the scope of this work, a two-dimensional discrete element model is developed, consisting of…

Materials Science · Physics 2007-05-23 Falk K. Wittel , Gerhard Dill-Langer , Bernd-H. Kroeplin

We present the results of first-principles calculations of selected structural and thermodynamic properties of a set of grain boundaries (GBs) in zirconium, spanning a range of misorientation angles and boundary planes. We performed…

Materials Science · Physics 2020-09-14 Adam J Plowman , Christopher P Race
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